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Finding the Fourth Proportional to 20,077.89, 30,117.08 and 9,548.93

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Solution

The fourth proportional to 20,077.89, 30,117.08 and 9,548.93 is: 14,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.89 : 30,117.08 = 9,548.93 : x
  2. Step 2: Convert to fraction form
    20,077.89/30,117.08 = 9,548.93/x
  3. Step 3: Cross multiply
    20,077.89x = 30,117.08 × 9,548.93
  4. Step 4: Simplify right side
    20,077.89x = 287,585,839.14
  5. Step 5: Solve for x
    x = 287,585,839.14/20,077.89
  6. Step 6: Final answer
    x = 14,323.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.